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Alja [10]
1 year ago
15

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Mathematics
1 answer:
Lina20 [59]1 year ago
8 0
-3(y+2)^2-5+6y
-3(y^2+4y+4)-5+6y
-3y^2-12y-12-5+6y
-3y^2-6y-17
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Find the difference: square root of 20 - square root of 80
Mamont248 [21]

Answer:

-2\sqrt{5}

Step-by-step explanation:

\sqrt{20} = \sqrt{10*2} = \sqrt{5 * 2 *2} = \sqrt{2^2 * 5} = 2\sqrt{5}   \\\\\sqrt{80} = \sqrt{20*4} = \sqrt{5*4 *4} = \sqrt{4^2 * 5} = 4\sqrt{5}   \\\\2\sqrt{5} - 4\sqrt{5} = -2\sqrt{5}

8 0
1 year ago
Read 2 more answers
Lyles height is twice the difference of the height of his brother, harry, and the height of his dad, vince. Lyle is 2 1/2 feet t
Greeley [361]

Answer:

5 = 19 - 4v

Step-by-step explanation:

We are given the following in the question:

\text{Lyle's height} = 2( \text{Harry's height - Vince's height})

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

l = 2(h-v)

Lyle's Height =

2\dfrac{1}{2}\text{ feet}

Harry's height =

4\dfrac{3}{4}\text{ feet}

Putting the value in the equation:

2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}

Thus, Vince's height is 3.5 feet.

7 0
2 years ago
A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has
Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of  propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

  • Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
  • Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0

If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

8 0
1 year ago
Use technology or a z-distribution table to find the indicated area.
katrin [286]
Approximately 70% of the visitors to the theme park are older than about 12.3.

A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).

Therefore, we can write and solve the following equation:

(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244

The closest amount is 12.3.
8 0
1 year ago
Clay and Clod thought of the same number. Clay divided the number by 7 to that number and added 14 to the result. He got 23. Clo
Nesterboy [21]
Clod would get 11, because the number they both thought of was 63

5 0
1 year ago
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